Page 56 - Mathematics_Form_Two

Similarity

13. In the following figure, ∆ ABC 16. Study the following figure and answer
is a right-angled at A and AD is an the questions that follow.
altitude.

FOR ONLINE READING ONLY
Mathematics for Secondary Schools (a) Name with reasons, two (a) State a triangle which is

triangles which are similar to

similar to triangle ABC.
ABD
∆
2
(b) Show that y =
and xz = yw . 2 uv , x = uw , (b) Calculate the constant of
proportionality
between
(c) If AB 40 cm, = AC 30 cm, = triangles identified in part (a).
BC 50 cm, = calculate AD, 17. Find the value of a n the following
figure,
BD, and CD. A

14. A man wishes to find the width of 5 cm
a river. There is a post at A on the
far bank directly opposite post A and B a
another at E so that A, C, and E align 4 cm
with each other, with ED being at the D C
right angles with the bank. BC, DC, 5.92 cm
and DE are measured and found to be
117m, 26m, and 16 m, respectively. E
Find the width of the river. 18. Use the following figures to show
15. In the following figure, find the that ∆ RPQ  ∆ ABC and hence
proportionality constant between calculate the values of x and y.
similar triangles and the length of
side NM.

50
Student's Book Form Two

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MATHEMATIC F2 v5.indd 50